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Finding the Fourth Proportional to 1,603.07, 2,402.79 and 678.05

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Solution

The fourth proportional to 1,603.07, 2,402.79 and 678.05 is: 1,016.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.07 : 2,402.79 = 678.05 : x
  2. Step 2: Convert to fraction form
    1,603.07/2,402.79 = 678.05/x
  3. Step 3: Cross multiply
    1,603.07x = 2,402.79 × 678.05
  4. Step 4: Simplify right side
    1,603.07x = 1,629,221.64
  5. Step 5: Solve for x
    x = 1,629,221.64/1,603.07
  6. Step 6: Final answer
    x = 1,016.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.